{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RX6DO4FYKTUX3SRLRBLAVKGFNS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4317ef763bc90bb7b68696b8956bace795a17cdb0a3d492f15e4fe82b2e5f086","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-11T23:39:46Z","title_canon_sha256":"6d5ceb590acfabbfcdd590aa3ff7073c23d65b7755308868de179ccb7362cba9"},"schema_version":"1.0","source":{"id":"1210.3395","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3395","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3395v2","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3395","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"RX6DO4FYKTUX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RX6DO4FYKTUX3SRL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RX6DO4FY","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f815d059045c323b5af5cba65a6c243c338682e67ddf7cc9d5dea9a514e5d9ae","target":"graph","created_at":"2026-05-18T02:59:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In Compressive Sensing, the Restricted Isometry Property (RIP) ensures that robust recovery of sparse vectors is possible from noisy, undersampled measurements via computationally tractable algorithms. It is by now well-known that Gaussian (or, more generally, sub-Gaussian) random matrices satisfy the RIP under certain conditions on the number of measurements. Their use can be limited in practice, however, due to storage limitations, computational considerations, or the mismatch of such matrices with certain measurement architectures. These issues have recently motivated considerable effort to","authors_text":"Armin Eftekhari, Christopher J. Rozell, Han Lun Yap, Michael B. Wakin","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-11T23:39:46Z","title":"The Restricted Isometry Property for Random Block Diagonal Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3395","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2a48d5614d8ae9a2e498b2247422d585e9113ff0a05a3c67acf9abedb28c81ab","target":"record","created_at":"2026-05-18T02:59:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4317ef763bc90bb7b68696b8956bace795a17cdb0a3d492f15e4fe82b2e5f086","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-11T23:39:46Z","title_canon_sha256":"6d5ceb590acfabbfcdd590aa3ff7073c23d65b7755308868de179ccb7362cba9"},"schema_version":"1.0","source":{"id":"1210.3395","kind":"arxiv","version":2}},"canonical_sha256":"8dfc3770b854e97dca2b88560aa8c56c9a638983b20dda5c545118ec9b61f3f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dfc3770b854e97dca2b88560aa8c56c9a638983b20dda5c545118ec9b61f3f1","first_computed_at":"2026-05-18T02:59:06.511039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:06.511039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwSE+CRWCIrITX4Ucg6FZNk20CanA/9X9gtovaral8qY8psoZ5pr+6Jlm78XSabQaIQRVJkO2jZjhWdnseIEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:06.511691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3395","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a48d5614d8ae9a2e498b2247422d585e9113ff0a05a3c67acf9abedb28c81ab","sha256:f815d059045c323b5af5cba65a6c243c338682e67ddf7cc9d5dea9a514e5d9ae"],"state_sha256":"be693f10c075e19b282f8fb530ec8eb8b1387e54d3849daf631350c4bab197c9"}